Construction of quasi-periodic solutions of guaranteed accuracy by the small parameter method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 1, pp. 95-101

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Theorems on the localization of exact solutions are proved for a quasilinear mathematical model describing quasi-periodic processes. Based on these theorems, constructive algorithms are proposed for calculating quasi-periodic solutions with guaranteed accuracy. Quasi-periodic motions play an important role in engineering and physics, where they often represent determining states. Quasi-periodic motions can be found in many ecological, biological, and economic processes.
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Kh. I. Botashev. Construction of quasi-periodic solutions of guaranteed accuracy by the small parameter method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 1, pp. 95-101. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_1_a9/